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223444312 = 237213163269
BaseRepresentation
bin11010101000101…
…11110101011000
3120120110010222021
431110113311120
5424200204222
634101104224
75352150100
oct1524276530
9516403867
10223444312
11105146023
12629b8074
13373a5390
1421966200
151493aac7
hexd517d58

223444312 has 96 divisors (see below), whose sum is σ = 530031600. Its totient is φ = 87526656.

The previous prime is 223444303. The next prime is 223444321. The reversal of 223444312 is 213444322.

It is a happy number.

223444312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223444303) and next prime (223444321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830514 + ... + 830782.

Almost surely, 2223444312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265015800).

223444312 is an abundant number, since it is smaller than the sum of its proper divisors (306587288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223444312 is a wasteful number, since it uses less digits than its factorization.

223444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 223444312 is about 14948.0537863630. The cubic root of 223444312 is about 606.8151773172.

Adding to 223444312 its reverse (213444322), we get a palindrome (436888634).

The spelling of 223444312 in words is "two hundred twenty-three million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 163 182 196 269 326 364 392 538 637 652 728 1076 1141 1274 1304 1883 2119 2152 2282 2548 3497 3766 4238 4564 5096 6994 7532 7987 8476 9128 13181 13988 14833 15064 15974 16952 24479 26362 27976 29666 31948 43847 48958 52724 59332 63896 87694 97916 103831 105448 118664 171353 175388 195832 207662 306929 342706 350776 415324 570011 613858 685412 830648 1140022 1227716 1370824 2148503 2280044 2455432 3990077 4297006 4560088 7980154 8594012 15960308 17188024 27930539 31920616 55861078 111722156 223444312